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Finding the Fourth Proportional to 1,926.84, 2,888.46 and 1,371

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Solution

The fourth proportional to 1,926.84, 2,888.46 and 1,371 is: 2,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.84 : 2,888.46 = 1,371 : x
  2. Step 2: Convert to fraction form
    1,926.84/2,888.46 = 1,371/x
  3. Step 3: Cross multiply
    1,926.84x = 2,888.46 × 1,371
  4. Step 4: Simplify right side
    1,926.84x = 3,960,078.66
  5. Step 5: Solve for x
    x = 3,960,078.66/1,926.84
  6. Step 6: Final answer
    x = 2,055.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.